Periodic convergence in the discrete hungry Toda equation

You Takahashi, Masashi Iwasaki, Akiko Fukuda, Emiko Ishiwata, Yoshimasa Nakamura

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this paper, we clarify the periodic behaviour in the discrete hungry Toda (dhToda) equation, which is an extension of the famous integrable discrete Toda equation. The centre manifold theory, which is a classical analysis theory, plays a key role in analysing the dhToda equation. We first observe the asymptotic behaviour of the dhToda variable through a numerical example. We then discuss the existence of a centre manifold associated with the dhToda equation. Finally, we find this centre manifold and then analyse the asymptotic behaviour of the dhToda variable as the discrete-time variable goes to infinity.

Original languageEnglish
Article number344001
JournalJournal of Physics A: Mathematical and Theoretical
Issue number34
Publication statusPublished - 2018 Jul 16


  • centre manifold
  • discrete hungry Toda equation
  • local analysis
  • periodic convergence

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • General Physics and Astronomy


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